Finding the Third Proportional to 13,540 and 17,846

Step by Step Solution

1. Step 1: Write the proportion equation
   13,540 : 17,846 = 17,846 : x
2. Step 2: Convert to fraction form
   13,540/17,846 = 17,846/x
3. Step 3: Cross multiply
   13,540x = 17,846 × 17,846
4. Step 4: Simplify right side
   13,540x = 318,479,716
5. Step 5: Solve for x
   x = 318,479,716/13,540
6. Step 6: Final answer
   x = 23,521.40